$\mathbb{F}_{p^{m}}\mathbb{F}_{p^{m}}{[u^2]}$-additive skew cyclic codes of length $2p^s $

Research

Title	$\mathbb{F}_{p^{m}}\mathbb{F}_{p^{m}}{[u^2]}$-additive skew cyclic codes of length $2p^s $
Type	JournalPaper
Keywords	Skew cyclic code, additive skew cyclic code, chain ring, gray map.
Year	2024
Journal	Advances in Mathematics of Communications
DOI
Researchers	Roghayeh Mohammadi Hesari ، First-Name Last-Name ، Rashid Rezaei ، Karim Samei

Abstract

In this paper, we first study the skew cyclic codes of length ps over R3 = Fpm + uFpm + u2Fpm, where p is a prime number and u3 = 0. Then we characterize the algebraic structure of FpmFpm[u2]-additive skew cyclic codes of length 2ps. We will show that there are sixteen different types of these codes and classify them in terms of their generators.

Karim Samei

Research

Abstract